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1. Suppose you are planning to study five different hardwood concentrations to determine their effect on the strength of the paper produced at a pilot plant. The experiment is to be carried out over...

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1. Suppose you are planning to study five different hardwood concentrations to determine their effect on the strength of the paper produced at a pilot plant. The experiment is to be carried out over five days. Uncontrollable factors affecting paper quality can vary from day to day, and the plant is limited to four production runs on each day. What experimental design would you recommend in this situation? Be specific: show how concentrations might be assigned to the 20 possible production runs over the five-day period and describe how the assignments would be randomized. Describe a desirable feature of your design.

Answered 92 days After May 19, 2022

Solution

Aditi answered on Aug 19 2022
71 Votes
SOLUTION
1.
2.
3.
4.
Set up null and alternate hypotheses which is given as:
H0: All means are equal
H1: atleast two means are not equal
5.
H0: All the four groups means are equal
H1: atleast one groups is not same
Level:5%
Test Statostic:We use one way classification
    Anova: Single Facto
    
    
    
    
    
    
    
    
    
    
    
    
    
    SUMMARY
    
    
    
    
    
    
    Groups
    Count
    Sum
    Average
    Variance
    
    
    D1
    7
    26.22
    3.745714
    0.080662
    
    
    D2
    8
    28.64
    3.58
    0.033171
    
    
    D3
    6
    21.59
    3.598333
    0.009257
    
    
    D4
    8
    31.38
    3.9225
    0.03885
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    ANOVA
    
    
    
    
    
    
    Source of Variation
    SS
    df
    MS
    F
    P-value
    F crit
    Between Groups
    0.578209
    3
    0.192736
    4.658146
    0.010158
    2.991241
    Within Groups
    1.034405
    25
    0.041376
    
    
    
    
    
    
    
    
    
    
    Total
    1.612614
    28
    
    
    
    
Conclusion:
P<0.05 we reject the null hypothesis.
6.

A)


Count
    Var A \ Var B
    B-Category-1
    B-Category-2
    B-Category-3
    Total
    Alloy 1
    2
    2
    2
    6
    Alloy 2
    2
    3
    2
    7
    Alloy 3
    2
    2
    3
    7
    Total
    6
    7
    7
    20
Average
    Var A \ Var B
    B-Category-1
    B-Category-2
    B-Category-3
    Total
    Alloy 1
    23.5
    16.5
    16
    18.6667
    Alloy 2
    26.5
    11.6667
    12
    16
    Alloy 3
    27.5
    23.5
    13.3333
    20.2857
    Total
    25.8333
    16.4286
    13.7143
    18.3
Variance
    Var A \ Var...
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